کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599974 1336830 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Componentwise error analysis for the block LU factorization of totally nonnegative matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Componentwise error analysis for the block LU factorization of totally nonnegative matrices
چکیده انگلیسی
For the first time, perturbation bounds including componentwise perturbation bounds for the block LU factorization have been provided by Dopico and Molera (2005) [5]. In this paper, componentwise error analysis is presented for computing the block LU factorization of nonsingular totally nonnegative matrices. We present a componentwise bound on the equivalent perturbation for the computed block LU factorization. Consequently, combining with the componentwise perturbation results we derive componentwise forward error bounds for the computed block factors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 10, 15 November 2013, Pages 2888-2900
نویسندگان
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